Finding the Third Proportional to 76,078 and 154,460

Step by Step Solution

1. Step 1: Write the proportion equation
   76,078 : 154,460 = 154,460 : x
2. Step 2: Convert to fraction form
   76,078/154,460 = 154,460/x
3. Step 3: Cross multiply
   76,078x = 154,460 × 154,460
4. Step 4: Simplify right side
   76,078x = 23,857,891,600
5. Step 5: Solve for x
   x = 23,857,891,600/76,078
6. Step 6: Final answer
   x = 313,597.78